Problem:
Find the area of the region bounded by the graphs of

f(x) = sin(x)
and

g(x) = cos(x).

Visualization:

Using Microcalc:

  1. Choose Beginning Calculus from the initial menu and press .
  2. Use the arrow keys to move to the menu item Area, press and .
  3. At the prompt F(x) =, enter the formula
    sin(x)
  4. and, at the prompt G(x) =, enter the formula
    cos(x)
  5. Enter the bounds at the prompts
    x_0 = 0 x_1 = ã
    You can enter pi by pressing at the same time.
  6. Enter the bounds at the prompts
    y_0 = 0 y_1 = 1
  7. You will see the following graphs and the areas between them.

  8. If you press then you will see:
         Algebraic area = 2.00000 000
         Geometric area = 2.82842 713